#!/usr/bin/python

"""Project Euler Solution 024

Copyright (c) 2011 by Robert Vella - robert.r.h.vella@gmail.com

Permission is hereby granted, free of charge, to any person obtaining a copy
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to use, copy, modify, merge, publish, distribute, sublicense, and / or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in
all copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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THE SOFTWARE.
"""

import cProfile
from euler.numbers.combinatorics import lexicographic_permutation_at
from euler.numbers.decimal_base import join_integers

def get_answer():
    """Question:
    
    A permutation is an ordered arrangement of objects. For example, 3124 is 
    one possible permutation of the digits 1, 2, 3 and 4. If all of the 
    permutations are listed numerically or alphabetically, we call it 
    lexicographic order. The lexicographic permutations of 0, 1 and 2 are:

    012   021   102   120   201   210
    
    What is the millionth lexicographic permutation of the digits 
    0, 1, 2, 3, 4, 5, 6, 7, 8 and 9?
    """
    return join_integers(
                            lexicographic_permutation_at([
                                                        0, 1, 2, 3, 4, 5,
                                                        6, 7, 8, 9
                                                     ],
                                                     999999
                                                    )
                        )
    


if __name__ == "__main__":
    cProfile.run("print(get_answer())")
